This is a well known puzzle involving a missing square often used as a magic trick.
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updated February 2, 2022

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The 4 main pieces form a large right triangle in one configuration.  When rearranged, the 4 pieces apparently form the same triangle with one piece missing.  The secret of this puzzle involves Fibonacci numbers.  There are many videos online showing this puzzle.  Just search for the missing square puzzle.  A very good, brief explanation with references can be found here:  https://en.wikipedia.org/wiki/Missing_square_puzzle.

The link also shows a related puzzle by Mitsunobu Matsuyama for which I have also made a 3d model called the Matsuyama Paradox Puzzle.

I’ve printed with PLA and PETG (no supports) with varying amounts of shrinkage but that shouldn’t take away from the illusion.  There’s another excellent representation of the Missing Square Puzzle by Kiwibloke (Magic Area Puzzle with Display Tray).  But I thought the rectangular tray could be a little revealing so I’ve used a simple rectangular tray.


 

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